Finding the Third Proportional to 41,638 and 91,760

Step by Step Solution

1. Step 1: Write the proportion equation
   41,638 : 91,760 = 91,760 : x
2. Step 2: Convert to fraction form
   41,638/91,760 = 91,760/x
3. Step 3: Cross multiply
   41,638x = 91,760 × 91,760
4. Step 4: Simplify right side
   41,638x = 8,419,897,600
5. Step 5: Solve for x
   x = 8,419,897,600/41,638
6. Step 6: Final answer
   x = 202,216.67